Texas instruments TI-73 Matrices
Matrices
TI
for the TI-73
Getting Started
Start here
How To…
Find Installation Instructions
Move Between Matrix Application Screens
View and Edit a Matrix
Use Matrices with Expressions
Display and Copy Matrices
Use Math Functions with Matrices
Use the Matrix MTH Operations
Delete a Matrix
More Infor m a t ion
Uninstalling the Application from the TI-73
Error Recovery
Customer Support
6/26/01 © 1999, 2001 Texas Instruments
Important Information
Texas Instruments makes no warranty, either expressed or
implied, including but not limited to any implied warranties of
merchantability and fitness for a particular purpose, regarding
any programs or book materials and makes such materials
available solely on an “as-is” basis.
In no event shall Texas Instruments be liable to anyone for
special, collateral, incidental, or consequential damages in
connection with or arising out of the purchase or use of these
materials, and the sole and exclusive liability of Texas
Instruments, regardless of the form of action, shall not exceed
the purchase price of this product. Moreover, Texas Instruments
shall not be liable for any claim of any kind whatsoever against
the use of these materials by any other party.
This graphing product application (APP) is licensed. See the
terms of the license agreement
.
Copyright © 1999, 2001 Texas Instruments Incorporated.
Matrices for the TI-73 Page 2
Where to Find Installation Instructions
You can find detailed instructions on installing Flash applications
at education.ti.com/guides
.
Matrices for the TI-73 Page 3
Getting Started: Systems of Linear Equations
Steps
Keystrokes
Display
1. Run the Matrices
application.
9
, highlight
MATRICES
and press
b
, then
press any key
2. Display the
MATRIX EDT
menu, and select the
[A]
matrix.
" "
1
Use the Matrices application to solve the system of linear
equations:
X + 2Y + 3Z = 3
2X + 3Y + 4Z = 3
Enter the coefficients as elements in a matrix, and then use
to find the reduced row-echelon form.
Matrices for the TI-73 Page 4
rref(
Steps
Keystrokes
Display
3. Define a 2×4 matrix. The
rectangular cursor
indicates the current
element. Ellipses (
...
)
indicate additional
columns beyond the
screen.
2
b
4
b
4. Enter 1for the first
element. The rectangular
cursor moves to the
second column of the
first row.
1
b
5. Complete the first row
for X + 2Y + 3Z = 3.
6. Enter the second row for
2X + 3Y + 4Z = 3.
2
b
3
b
3
b
2
b
3
b
4
b
3
b
7. Display the
Matrix Home
screen.
9 :
Matrices for the TI-73 Page 5
Steps
Keystrokes
Display
8. Clear the screen, if
necessary.
9. Display the
MATRIX MTH
menu. Press $to wrap
to the end of the menu,
and then select
B:rref(
.
:
9 "
$
$$$$$$
b
10. Display the
MATRIX NAME
menu and select matrix
[A]
. Then complete the
calculation. The reduced
row-echelon form of the
matrix is:
1X + 0Y
N
1Z =L3 so
X =L3 + Z
0X + 1Y + 2Z = 3 so
Y = 3N2Z
9
1
E b
Matrices for the TI-73 Page 6
Running or Quitting the Application
After installing the application:
1. Press
9
.
2. Select the
Matrices
application. An
informational screen appears.
Note
If you ever need technical support, you may need the version
number shown on this screen.
3. Press any key to display the
Matrix Menu
screen.
Running the Application
Matrices for the TI-73 Page 7
Quitting the Application
•
Press
- l
.
– or –
•
On the
Matrix Menu
screen, highlight
HLP
. Then select
2:Quit
.
To exit the Matrices application and return to the TI-73 Home
screen, either:
Any matrices or other variables that you stored while using the
Matrices application are retained in memory. Matrices are stored
as application variables (App vars). After quitting the application,
you cannot use a stored matrix from the TI-73 Home screen; you
must run the Matrices application to access a matrix or perform a
matrix calculation.
Matrices for the TI-73 Page 8
Matrices Application Screens and How to
The Matrices application
starts on this screen.
The
Matrix Home
screen replaces the
normal TI.73 Home
screen. Use this
screen to perform all
calculations while
running the Matrices
application. From this
screen, you can also
access most of the
normal TI.73 menus.
The
Matrix Edit
screen lets you edit an
existing matrix or
create a new one.
The
Matrix Menu
screen lets you access
menus to:
•
Select matrix names
for use in a
calculation
•
Select matrix math
operations.
•
Edit or create a
matrix.
•
View online Help.
9
:
Select from
EDT menu
9
Move Between Them
The three primary screens used in the Matrices application are
shown below. Notice the keys used to move from one screen to
another.
Matrices for the TI-73 Page 9
Viewing Online Help
At any time, press
- l
to
exit Help and return to the
Matrix Menu screen.
Press "(next) and !(back) to
move through the Help, one page
at a time. On the last page,
"
returns to the Matrix Menu screen.
To view online Help, highlight
Then select
1:Help
.
HLP
on the
Matrix Menu
screen.
Matrices for the TI-73 Page 10
Defining a Matrix
NAME lets you select the
name of an existing matrix
for use in a calculation,
not for creating or editing.
(You can perform a matrix
calculation only on the
Matrix Home screen.)
Matrix [C] is already
defined as a 2x4 matrix.
EDT lets you select
a matrix to create or
edit.
What Is a Matrix?
A matrix is a two-dimensional array. You can define, display, or
edit a matrix using the
matrix directly in an expression. The Matrices application for the
TI-73 has six matrix variables,
depending on available memory, can have up to 100 elements in
any arrangement of rows and columns (with a maximum of 99
individual rows or columns). You can store only real numbers in
a matrix.
Defining a New Matrix
Before you can define or edit a matrix in the editor, you must
select the matrix name. From the
Matrix Edit
screen. You can also define a
through
[A]
Matrix Home
. A matrix,
[F]
screen:
1. Press
NAME
Matrices for the TI-73 Page 11
9 " "
).
to display the
MATRIX EDT
menu (not
MATRIX
2. Select the matrix you want to define. Use #or $to highlight
Sets the number of
rows, up to 99.
Sets the number of
columns, up to 99.
the corresponding number and then press
that number key. The
Matrix Edit
screen is displayed.
b
, or press
When you edit or create a matrix, the cursor highlights the
number of rows.
3. Accept or change the number of rows.
To accept the value, press
•
To change the value, type the number of rows and then
•
press
b
.
b
.
The cursor moves to the number of columns.
Matrices for the TI-73 Page 12
4. Accept or change the number of columns. When you press
To change a value, use !, ", #,
and $to highlight that element
and then enter a new value (or
press
b
and then edit the
current value).
In a new matrix, all
elements are zero.
b
, the cursor moves to the first matrix element.
5. Type the value (or an expression) for each element and
press
b
, one row at a time. Each time you press
b
the cursor moves to the next element in the row. At the end
of a row, the cursor moves to the next row.
,
6. After entering the last element, press
Matrix Menu
Matrix Home
Matrices for the TI-73 Page 13
screen. You can then press
screen.
9
:
to return to the
to display the
Viewing and Editing a Matrix on the Matrix
Key
Description
!
or
"
Moves the cursor within the current row.
#
or
$
Moves the cursor within the current column.
•
On the first row, $moves the cursor to the number of columns
•
On the number of columns, $or !moves the cursor to the
number of rows.
Dimensions of the matrix.
Ellipses (...) in the left or right column indicate
additional columns.
#
or $in the right column indicates additional rows
The full value of the highlighted element is shown
on the bottom line.
Edit Screen
Viewing an Existing Matrix
On the
Matrix Edit
screen, select the matrix. As necessary, use the
cursor keys to move the rectangular cursor from one matrix
element to the next.
When the rectangular cursor highlights an element (and an edit
cursor is not shown on the bottom line), you can use the
following keys:
Matrices for the TI-73 Page 14
Key
Description
b
or
:
or
any entry
character
Lets you edit the highlighted element, and activates the edit cursor
on the bottom line of the screen.
•
b
retains the current value in the bottom line so that you
can modify it.
•
:
clears the bottom line so you can enter a new value.
•
Any entry character clears the bottom line and places that
character on the line.
Note
If you edit a value by mistake and want to restore the original
value, press
: b
.
Editing a Matrix Element
To edit a matrix element, you must first activate the edit cursor.
1. Select the matrix from the
Matrix Edit
menu, and then enter or
accept the number of rows and columns.
2. Press !, $, ", and #to highlight the element.
3. Press either
b, :
, or an entry key to activate the
edit cursor on the bottom line.
4. Change the value of the matrix element using the editing
keys described below. You can enter an expression, which is
evaluated when you move the cursor to another element.
Matrices for the TI-73 Page 15
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